Question

factorise
i) x²-225
ii) 289-a²
iii) 450-2x²
iv) 3m²-48n²​

Answer 1

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Answer 1.

x²-225 = 0

x² = 225

X = √225

X = +15 or -15

Answer 2.

289 – a² =0

289 = a²

a = √289

a = +17 Or -17.

Answer 3.

450-2x²

$450 - 2 {x}^{2} = 0$

$450 = 2 {x}^{2}$

${x}^{2} = \frac{450}{2}$

${x}^{2} = 225$

$x = 15 \: or \: - 15$

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Answer 2

Answer:

i) x² - 225 = 0

 x² = 225

 x = √225

 x = ± 15

ii)  289 - a² = 0

a² = 289

a = √289

a = ± 17

iii) 450 - 2x² = 0

  2x² = 450

x² = 450/2

x² = 225

x = √225

x = ±15

iv) 3m² - 48n² = 0

  3(m² - 16 n²) = 0

m² - 16n²

m² - (4n)²

use formula: a² - b² = (a + b)(a - b)

(m + 4n)(m - 4n)